[CG] Re: Interpreter and Interpretant

Interpreter and Interpretant • Selection 9 • https://inquiryintoinquiry.com/2025/01/27/interpreter-and-interpretant-sele… Transfer — Let's examine how the transfer of knowledge through the analogy of experience works in the case of Dewey's “Sign of Rain” example. For concreteness, consider a fragment K_pres of the reasoner's knowledge base which is logically equivalent to a conjunction of two rules. • K_pres ⇔ (B ⇒ A) ∧ (B ⇒ D). K_pres may be thought of as a piece of knowledge or item of information allowing for the possibility of certain conditions, expressed in the form of a logical constraint on the present universe of discourse. It is convenient to have the option of expressing all logical statements in terms of their models, that is, in terms of the primitive circumstances or elements of experience over which they hold true. • Let E_past be the chosen set of experiences, or the circumstances in mind under “past experience”. • Let E_poss be the collective set of experiences, or the prospective total of possible circumstances. • Let E_pres be the current experience, or the circumstances immediately present to the reasoner. If we think of the knowledge base K_pres as referring to the “regime of experience” over which it is valid, then the sets of models involved in the analogy may be ordered according to the relationships of set inclusion or logical implication existing among them. In logical terms, the analogy of experience proceeds by inducing a Rule about the validity of a current knowledge base and then by deducing a Fact, the applicability of that knowledge base to a current experience. Step 1 is Inductive, abstracting a Rule from a Case and a Fact. • Case : E_past ⇒ E_poss, Chosen events fairly sample Collective events. • Fact : E_past ⇒ K_pres, Chosen events support the Knowledge regime. ────────────────────────────────────────────────────────────────────────── • Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime. Step 2 is Deductive, admitting a Case to a Rule and arriving at a Fact. • Case : E_pres ⇒ E_poss, Current events fairly sample Collective events. • Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime. ────────────────────────────────────────────────────────────────────────── • Fact : E_pres ⇒ K_pres, Current events support the Knowledge regime. Regards, Jon